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Finding the Third Proportional to 262,878.84 and 571,889.72

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Solution

The third proportional to 262,878.84 and 571,889.72 is: 1,244,139.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,878.84 : 571,889.72 = 571,889.72 : x
  2. Step 2: Convert to fraction form
    262,878.84/571,889.72 = 571,889.72/x
  3. Step 3: Cross multiply
    262,878.84x = 571,889.72 × 571,889.72
  4. Step 4: Simplify right side
    262,878.84x = 327,057,850,411.95
  5. Step 5: Solve for x
    x = 327,057,850,411.95/262,878.84
  6. Step 6: Final answer
    x = 1,244,139.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.